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A269009 Number of nX6 binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once. 1

%I #4 Feb 17 2016 12:03:19

%S 20,272,4948,73568,1049588,14382480,192100836,2516546784,32481770852,

%T 414339126768,5234937372516,65617049910368,816985376286500,

%U 10114119489148976,124593533629907540,1528232910934667360

%N Number of nX6 binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once.

%C Column 6 of A269011.

%H R. H. Hardin, <a href="/A269009/b269009.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 28*a(n-1) -230*a(n-2) +192*a(n-3) +3805*a(n-4) -5776*a(n-5) -27808*a(n-6) +25744*a(n-7) +101333*a(n-8) -13916*a(n-9) -149690*a(n-10) -66848*a(n-11) +23183*a(n-12) +9888*a(n-13) -2304*a(n-14)

%e Some solutions for n=4

%e ..0..0..1..0..0..0. .0..1..0..1..0..1. .1..0..0..1..1..0. .0..0..0..1..0..0

%e ..0..0..1..0..0..1. .0..0..0..0..0..1. .0..0..0..0..0..0. .0..0..1..0..0..0

%e ..0..0..1..0..0..0. .1..0..1..0..1..0. .0..0..1..0..0..0. .0..0..0..0..0..1

%e ..0..0..0..1..0..0. .1..0..1..0..0..0. .0..0..0..0..0..0. .1..0..1..0..0..0

%Y Cf. A269011.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 17 2016

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Last modified April 24 17:29 EDT 2024. Contains 371962 sequences. (Running on oeis4.)